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Home » Set the equations equal to each other to find \( x \): - DNSFLEX

Set the equations equal to each other to find \( x \): - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Question:** A bioinformatics researcher studying evolutionary genomics is analyzing genetic variations. If the average of three genetic diversity indices \( a+4 \), \( 4a+1 \), and \( 3a+7 \) is 15, find the value of \( a \).

📌 First, write the equation for the average of the three indices:

📌 \frac{(a+4) + (4a+1) + (3a+7)}{3} = 15

📌 Combine like terms in the numerator:

📌 \frac{a + 4a + 3a + 4 + 1 + 7}{3} = 15

📌 \frac{8a + 12}{3} = 15

📌 Multiply both sides by 3 to eliminate the denominator:

📌 8a + 12 = 45

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